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7142124 = 2231161887
BaseRepresentation
bin11011001111101011101100
3111102212011010
4123033223230
53312021444
6413025220
7114464343
oct33175354
914385133
107142124
114038a90
122485210
131630b12
14d3cb5a
159612b9
hex6cfaec

7142124 has 48 divisors (see below), whose sum is σ = 18498816. Its totient is φ = 2126400.

The previous prime is 7142117. The next prime is 7142129. The reversal of 7142124 is 4212417.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7142124.

It is not an unprimeable number, because it can be changed into a prime (7142129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7609 + ... + 8495.

It is an arithmetic number, because the mean of its divisors is an integer number (385392).

Almost surely, 27142124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249408).

7142124 is an abundant number, since it is smaller than the sum of its proper divisors (11356692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7142124 is a wasteful number, since it uses less digits than its factorization.

7142124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 964 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 7142124 is about 2672.4752571352. The cubic root of 7142124 is about 192.5790893320.

It can be divided in two parts, 71 and 42124, that added together give a triangular number (42195 = T290).

The spelling of 7142124 in words is "seven million, one hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 887 1342 1774 2013 2661 2684 3548 4026 5322 8052 9757 10644 19514 29271 39028 54107 58542 108214 117084 162321 216428 324642 595177 649284 1190354 1785531 2380708 3571062 7142124